Finding the Third Proportional to 287,404.50 and 435,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   287,404.50 : 435,082.50 = 435,082.50 : x
2. Step 2: Convert to fraction form
   287,404.50/435,082.50 = 435,082.50/x
3. Step 3: Cross multiply
   287,404.50x = 435,082.50 × 435,082.50
4. Step 4: Simplify right side
   287,404.50x = 189,296,781,806.25
5. Step 5: Solve for x
   x = 189,296,781,806.25/287,404.50
6. Step 6: Final answer
   x = 658,642.37